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Simplifying 12q + -7 = 7q + 8 Reorder the terms: -7 + 12q = 7q + 8 Reorder the terms: -7 + 12q = 8 + 7q Solving -7 + 12q = 8 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. -7 + 12q + -7q = 8 + 7q + -7q Combine like terms: 12q + -7q = 5q -7 + 5q = 8 + 7q + -7q Combine like terms: 7q + -7q = 0 -7 + 5q = 8 + 0 -7 + 5q = 8 Add '7' to each side of the equation. -7 + 7 + 5q = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5q = 8 + 7 5q = 8 + 7 Combine like terms: 8 + 7 = 15 5q = 15 Divide each side by '5'. q = 3 Simplifying q = 3
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